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Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution 基于变换逆瑞利分布截尾寿命试验的验收抽样方案
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2016-0011
A. Al-Omari
{"title":"Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution","authors":"A. Al-Omari","doi":"10.1515/eqc-2016-0011","DOIUrl":"https://doi.org/10.1515/eqc-2016-0011","url":null,"abstract":"Abstract In this paper, we propose acceptance sampling plans for transmuted inverse Rayleigh distribution when the lifetime time is truncated at a predetermined level. We consider various characteristics of the acceptance sampling plans such as confidence levels, acceptance numbers, ratio of the experimental time to such a specified average, minimum requisite sample size to affirm a certain mean lifetime assuming transmuted inverse Rayleigh distribution. The minimum sample size, the operating characteristic function values of the new sampling plans as well as the producer’s risk are obtained and the results are illustrated by examples.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126694647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Sequential Test for Poisson Distribution under Measurement Error 测量误差下泊松分布的序贯检验
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2013-0007
R. Sankle, J. R. Singh, I. K. Mangal
{"title":"Sequential Test for Poisson Distribution under Measurement Error","authors":"R. Sankle, J. R. Singh, I. K. Mangal","doi":"10.1515/eqc-2013-0007","DOIUrl":"https://doi.org/10.1515/eqc-2013-0007","url":null,"abstract":"Abstract The expression for the Operating Characteristics (OC) and Average Sample Number (ASN) functions are derived under inspection error. Two types of error are defined i.e. (i) failing to find one or more of the nonconformities in the sample and (ii) declaring one or more nonconformities when none exist. It is seen by OC and ASN curves that inspector errors have considerable effects on the results of a sequential test for Poisson distribution.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134128352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Capability Index Calibrated to the Nonconformance Probability 一种根据不符合概率标定的能力指标
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2004.45
L. Ho, W. Borges, Gladys D. C. Barriga
{"title":"A Capability Index Calibrated to the Nonconformance Probability","authors":"L. Ho, W. Borges, Gladys D. C. Barriga","doi":"10.1515/EQC.2004.45","DOIUrl":"https://doi.org/10.1515/EQC.2004.45","url":null,"abstract":"Process Capability indices have become popular for describing how well a process meets specified tolerances. The lack of affinity with the process nonconformance probability p and the difficulty of dealing with the sampling distribution of their natural estimators affect greatly the use of the traditional indices as Cp , Cpk , Cpm and Cpkm . In this paper, a capability index is proposed which is calibrated to the nonconformance probability. Moreover, Bayesian inference procedures under multinomial sampling are developed for simplifying application of the index in industry.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115345475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Approximating Reliability of a System with Doubly Bounded Performance Functions 具有双有界性能函数的系统可靠性逼近
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2006.243
J. Ahmadi, Nadarajah Saralees
{"title":"Approximating Reliability of a System with Doubly Bounded Performance Functions","authors":"J. Ahmadi, Nadarajah Saralees","doi":"10.1515/EQC.2006.243","DOIUrl":"https://doi.org/10.1515/EQC.2006.243","url":null,"abstract":"The purpose of this paper is to derive an approximation of the reliability of a system with doubly bounded performance functions. The problem is illustrated through the probability of an n dimensional hyper cube of the multivariate normal distribution. An approximation method is presented to evaluate this probability based on n + 2 computations of the CDF of the multi-normal distribution.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128768333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Measurement Error Effect on the Power of Control Chart for the Ratio of Two Poisson Distributions 测量误差对两泊松分布之比控制图功率的影响
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2013-0008
A. Chakraborty, A. Khurshid
{"title":"Measurement Error Effect on the Power of Control Chart for the Ratio of Two Poisson Distributions","authors":"A. Chakraborty, A. Khurshid","doi":"10.1515/eqc-2013-0008","DOIUrl":"https://doi.org/10.1515/eqc-2013-0008","url":null,"abstract":"Abstract It is widely recognized that measurement errors often exist in practice and may considerably affect the performance of control charts in some cases. Measurement error variability has uncertainty which may be originated from several sources. Recently, Chakraborty and Khurshid [3] studied the effects of measurement error on control charts for zero-truncated Poisson distribution. In this paper, we study the effect of the two sources of variability on the power characteristics of control charts and obtain the values of average run length (ARL) for the binomial distribution based on the ratio of two Poisson distributions as studied by Sahai and Khurshid [20]. Expression of the power of the control chart under the standardized normal variable for the binomial distribution is also derived when the underlying distribution is the ratio of two Poisson distributions.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127525566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution 假设线性不良率分布的百分位数验收抽样计划
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2014-0001
B. Srinivasa Rao, M. Priya, R. Kantam
{"title":"Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution","authors":"B. Srinivasa Rao, M. Priya, R. Kantam","doi":"10.1515/eqc-2014-0001","DOIUrl":"https://doi.org/10.1515/eqc-2014-0001","url":null,"abstract":"Abstract In this article , acceptance sampling plans are developed for the Linear Failure Rate Distribution percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given consumerś risk. The operating characteristic values of the sampling plans as well as the producerś risk are presented.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116779156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Life in Bridgetown, Barbados, According to the Westbury Cemetery Records 1877–1976 生活在布里奇敦，巴巴多斯，根据韦斯特伯里墓地记录1877年至1976年
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2015-6004
Peter S. Chami, T. Inniss, Bernd Sing
{"title":"Life in Bridgetown, Barbados, According to the Westbury Cemetery Records 1877–1976","authors":"Peter S. Chami, T. Inniss, Bernd Sing","doi":"10.1515/eqc-2015-6004","DOIUrl":"https://doi.org/10.1515/eqc-2015-6004","url":null,"abstract":"Abstract We perform a survival analysis on the records of the burials at the Westbury Cemetery, Barbados, between 1877 and 1976. The goal of the paper is to observe the stratified life expectancies of persons of particular time appropriate occupations. Comparing different occupations through time, amongst each other and to the general population, enables us to get some insights into the public health situations and living conditions of the persons working in the respective occupations.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116745959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic Methods for Production Processes 生产过程的随机方法
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2004.61
E. Collani, D. Monica
{"title":"Stochastic Methods for Production Processes","authors":"E. Collani, D. Monica","doi":"10.1515/EQC.2004.61","DOIUrl":"https://doi.org/10.1515/EQC.2004.61","url":null,"abstract":"In [v. Collani, Theoretical Stochastics, Heldermann Verlag, 2004] and [v. Collani, Empirical Stochastics, Heldermann Verlag, 2004] Stochastics, the Science of Prediction is re-established, its basic concepts are developed and fundamental stochastic procedures are introduced. Stochastics is defined as the branch of science which deals with the aspect of “uncertainty”. As uncertainty constitutes a major problem in all area of life, the principles developed in stochastics are universally valid.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"285 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122400796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution 指数分布下最优可靠性验收抽样方案设计
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2015-0005
Mahesh Kumar, Ramyamol P C
{"title":"Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution","authors":"Mahesh Kumar, Ramyamol P C","doi":"10.1515/eqc-2015-0005","DOIUrl":"https://doi.org/10.1515/eqc-2015-0005","url":null,"abstract":"Abstract In this paper, an attempt is made to derive the most efficient economic reliability sampling plans for accepting a lot containing identical units having exponentially distributed lifetime with parameter θ. We consider two types of sampling plans, namely, (a) sequential sampling plan (t 1 ,t 2 )${(t_1,t_2)}$ and (b) repetitive group sampling plan (n,t 1 ,t 2 )${(n,t_1,t_2)}$ . Under plan (a), the lot is rejected when the time between successive failures (Y r )${(Y_r)}$ is less than t1, and accepted when Y r ≥t 2 ${Y_rge t_2}$ . The testing will continue for t 1 ≤Y r <t 2 ${t_1le Y_r< t_2}$ . Also we formulate an optimization problem that minimizes the total expected testing cost. Under plan (b), four different criteria are used to derive the sampling plan. The optimization problem formulated under each criterion is solved using a genetic algorithm to obtain the plan parameters (n,t 1 ,t 2 )${(n,t_1,t_2)}$ . Several numerical examples are discussed to illustrate our plans. In addition, a real example is also considered to demonstrate our plan. Finally, we compare the cost of our plan with that of an existing plan in the literature. Our plan has significant potential to reduce the testing cost by about 50%.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121044061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Availability of a k-out-of-N:F System with Generally Distributed Repair Time and Preventive Maintenance 具有普遍分布维修时间和预防性维修的k- of- n:F系统的可用性
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2013-0010
A. Nikolov
{"title":"Availability of a k-out-of-N:F System with Generally Distributed Repair Time and Preventive Maintenance","authors":"A. Nikolov","doi":"10.1515/eqc-2013-0010","DOIUrl":"https://doi.org/10.1515/eqc-2013-0010","url":null,"abstract":"Abstract This paper investigates the behaviour of a system composed of N independent unit subject to failure. A single repair facility is available to attend to the failed unit. At a random time interval the system is overhauled and put back in operation as a new. The method of the supplementary variable is used to set the equations describing the reliability. Induction is further used to obtain a closed solution.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121142720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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